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Beliebt Rechnen >

derivative of 2sin(xcos(x))

Lösung

\frac{d}{d x} (2 \cdot sin (x) \cdot cos (x))

Lösung

cos (2 x) \cdot 2

Schritte zur Lösung

\frac{d}{d x} (2 sin (x) cos (x))

Vereinfache

2 sin (x) cos (x) : sin (2 x)

= \frac{d}{d x} (sin (2 x))

Wende die Kettenregel an:

cos (2 x) \frac{d}{d x} (2 x)

= cos (2 x) \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= cos (2 x) \cdot 2

Graph

Beliebte Beispiele

integral of sqrt(1+x^{1/2)}

\int 1 + x^{\frac{1}{2}} d x

steigung y=sqrt(7x+11),(2,5)

s l o p e y = 7 x + 11, (2, 5)

laplacetransform e^{3a-bt}

l a pl a ce t r an s f or m e^{3 a - b t}

integral of (11x^3)/(sqrt(4+x^2))

\int \frac{11 x ^{3}}{4 + x ^{2}} d x

limit as x approaches-1 of x^5+4x^2+x

x \to - 1 lim (x^{5} + 4 x^{2} + x)